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Finding the Third Proportional to 379,843.65 and 579,412.62

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Solution

The third proportional to 379,843.65 and 579,412.62 is: 883,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,843.65 : 579,412.62 = 579,412.62 : x
  2. Step 2: Convert to fraction form
    379,843.65/579,412.62 = 579,412.62/x
  3. Step 3: Cross multiply
    379,843.65x = 579,412.62 × 579,412.62
  4. Step 4: Simplify right side
    379,843.65x = 335,718,980,956.07
  5. Step 5: Solve for x
    x = 335,718,980,956.07/379,843.65
  6. Step 6: Final answer
    x = 883,834.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.